In a certain country the following function represents the i

In a certain country the following function represents the income tax T (in dollars) do for a person who is adjusted gross income is G dollars where 30,500 ? g ? 74,100.

T(g)=4250+0.25(g-30,500)

A.) what is the domain of the function T?

B.). Given that the income tax do T is an increase in linear function of adjusted gross income G find the range of the function T

C.) find adjusted gross income G as a function of income tax T . what are the domain and the range of this function?

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The inverse notation f-1 used in a pure mathematics problem is not always used when finding inverses of applied proble The following problem illustrates this idea. In a certain country, the following function represents the income tax T (n dollars) due for a person whose adusted grossir T(g) 4250 +0.25(g 30,500) (a) What is the domain of the functionT? The domain of the function T is fg S gs (b) Given that the income tax due Tis an increasinglinear function of adjusted gross income g. find the range of the functio The range of the functionTism sTs (c) Find adjusted gross income g as a function of income tax T What are the domain and the range of this function? Enter your answer in each of the answer boxes. O what can help you find? SONY

a) domain of the function T is 30,500 g 74,100

b)T(30500)=4250+0.25(30500-30500)=4250

T(74100)=4250+0.25(74100-30500)=15150

range of the function T is 4250 T 15150

T(g)=4250+0.25(g-30500)

T-4250=0.25(g-30500)

g-30500=(1_/0.25)(T-4250)

g-30500=4(T-4250)

g-30500=4T-17000

g=4T+13500

g(T)=4T+13500

domain of the function g(T) is 4250 T 15150

range of the function g(T) is 30,500 g 74,100

In a certain country the following function represents the income tax T (in dollars) do for a person who is adjusted gross income is G dollars where 30,500 ? g

In a certain country the following function represents the i

Solution

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